1253325310400 has 168 divisors, whose sum is σ = 3219788206080. Its totient is φ = 479274019840.

The previous prime is 1253325310333. The next prime is 1253325310409. The reversal of 1253325310400 is 40135233521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253325310409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76793441 + ... + 76809759.

Almost surely, 2^{1253325310400} is an apocalyptic number.

1253325310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253325310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609894103040).

1253325310400 is an abundant number, since it is smaller than the sum of its proper divisors (1966462895680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1253325310400 is a wasteful number, since it uses less digits than its factorization.

1253325310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18451 (or 18436 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 1253325310400 in words is "one trillion, two hundred fifty-three billion, three hundred twenty-five million, three hundred ten thousand, four hundred".